Instantaneous Circulating Current Calculator

✖Peak Input Voltage Dual Converter is defined as the peak amplitude obtained by the voltage at the input terminal of a dual converter circuit.ⓘ Peak Input Voltage Dual Converter [V_in(dual)]			+10% -10%
✖Angular Frequency refers to the angular displacement per unit of time in a dual converter circuit.ⓘ Angular Frequency [ω_(dual)]			+10% -10%
✖Time provides a framework for understanding the sequence of events, durations, intervals, and the relationships between different moments.ⓘ Time [t_(dual)]			+10% -10%
✖Delay angle of first converter here refers to the delay angle of thyristors of the first converter in the dual converter.ⓘ Delay Angle of First Converter [α_1(dual)]			+10% -10%
✖Circulating Current Reactor is an inductive component that is deliberately introduced into the circuit to influence the behavior of circulating currents.ⓘ Circulating Current Reactor [L_r(dual)]			+10% -10%

✖Instantaneous Circulating Current Dual Converter refers to the undesired current flow between the rectifier and inverter when their output voltages are not perfectly matched.ⓘ Instantaneous Circulating Current [i_r(dual)]

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Formula

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Instantaneous Circulating Current

Formula

`"i"_{"r(dual)"} = (2*"V"_{"in(dual)"}*(cos("ω"_{"(dual)"}*"t"_{"(dual)"})-cos("α"_{"1(dual)"})))/("ω"_{"(dual)"}*"L"_{"r(dual)"})`

Example

`"-2.068333A"=(2*"125V"*(cos("100rad/s"*"30s")-cos("22°")))/("100rad/s"*"2.3H")`

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Instantaneous Circulating Current Solution

STEP 0: Pre-Calculation Summary

Formula Used

Instantaneous Circulating Current Dual Converter = (2*Peak Input Voltage Dual Converter*(cos(Angular Frequency*Time)-cos(Delay Angle of First Converter)))/(Angular Frequency*Circulating Current Reactor)
i_r(dual) = (2*V_in(dual)*(cos(ω_(dual)*t_(dual))-cos(α_1(dual))))/(ω_(dual)*L_r(dual))
This formula uses 1 Functions, 6 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Instantaneous Circulating Current Dual Converter - (Measured in Ampere) - Instantaneous Circulating Current Dual Converter refers to the undesired current flow between the rectifier and inverter when their output voltages are not perfectly matched.
Peak Input Voltage Dual Converter - (Measured in Volt) - Peak Input Voltage Dual Converter is defined as the peak amplitude obtained by the voltage at the input terminal of a dual converter circuit.
Angular Frequency - (Measured in Radian per Second) - Angular Frequency refers to the angular displacement per unit of time in a dual converter circuit.
Time - (Measured in Second) - Time provides a framework for understanding the sequence of events, durations, intervals, and the relationships between different moments.
Delay Angle of First Converter - (Measured in Radian) - Delay angle of first converter here refers to the delay angle of thyristors of the first converter in the dual converter.
Circulating Current Reactor - (Measured in Henry) - Circulating Current Reactor is an inductive component that is deliberately introduced into the circuit to influence the behavior of circulating currents.

STEP 1: Convert Input(s) to Base Unit

Peak Input Voltage Dual Converter: 125 Volt --> 125 Volt No Conversion Required
Angular Frequency: 100 Radian per Second --> 100 Radian per Second No Conversion Required
Time: 30 Second --> 30 Second No Conversion Required
Delay Angle of First Converter: 22 Degree --> 0.38397243543868 Radian (Check conversion here)
Circulating Current Reactor: 2.3 Henry --> 2.3 Henry No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

i_r(dual) = (2*V_in(dual)*(cos(ω_(dual)*t_(dual))-cos(α_1(dual))))/(ω_(dual)*L_r(dual)) --> (2*125*(cos(100*30)-cos(0.38397243543868)))/(100*2.3)

Evaluating ... ...

i_r(dual) = -2.06833266788322

STEP 3: Convert Result to Output's Unit

-2.06833266788322 Ampere --> No Conversion Required

FINAL ANSWER

-2.06833266788322 ≈ -2.068333 Ampere <-- Instantaneous Circulating Current Dual Converter

(Calculation completed in 00.004 seconds)

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Created by Devyaani Garg

Shiv Nadar University (SNU), Greater Noida

Devyaani Garg has created this Calculator and 50+ more calculators!

Verified by Nikita Suryawanshi

Vellore Institute of Technology (VIT), Vellore

Nikita Suryawanshi has verified this Calculator and 25+ more calculators!

< 4 Single Phase Dual Converters Calculators

Instantaneous Circulating Current

Go Instantaneous Circulating Current Dual Converter = (2*Peak Input Voltage Dual Converter*(cos(Angular Frequency*Time)-cos(Delay Angle of First Converter)))/(Angular Frequency*Circulating Current Reactor)

Circulating Current across Reactor under Dual Converter

Go Circulating Current = (1/(Angular Frequency*Circulating Current Reactor))*int(Instantaneous voltage Across Reactor,x,(Delay Angle of First Converter+(pi/6)),(Angular Frequency*Time))

DC Output Voltage of Second Converter

Go DC Output Voltage Second Converter = (2*Peak Input Voltage Dual Converter*(cos(Delay Angle of Second Converter)))/pi

DC Output Voltage for First Converter

Go DC Output Voltage First Converter = (2*Peak Input Voltage Dual Converter*(cos(Delay Angle of First Converter)))/pi

Instantaneous Circulating Current Formula

What causes circulating current in dual converters?

Circulating current is dual converters are caused by the out of phase voltages from both the converters. If only one converter is performing at a time, then the circulating current is not present. The circulating current is present only when both the converters are working at the same time.

How to Calculate Instantaneous Circulating Current?

Instantaneous Circulating Current calculator uses Instantaneous Circulating Current Dual Converter = (2*Peak Input Voltage Dual Converter*(cos(Angular Frequency*Time)-cos(Delay Angle of First Converter)))/(Angular Frequency*Circulating Current Reactor) to calculate the Instantaneous Circulating Current Dual Converter, The Instantaneous Circulating Current formula is the value of the circulating current of the dual converter at any instant. Instantaneous Circulating Current Dual Converter is denoted by i_r(dual) symbol.

How to calculate Instantaneous Circulating Current using this online calculator? To use this online calculator for Instantaneous Circulating Current, enter Peak Input Voltage Dual Converter (V_in(dual)), Angular Frequency (ω_(dual)), Time (t_(dual)), Delay Angle of First Converter (α_1(dual)) & Circulating Current Reactor (L_r(dual)) and hit the calculate button. Here is how the Instantaneous Circulating Current calculation can be explained with given input values -> -2.068333 = (2*125*(cos(100*30)-cos(0.38397243543868)))/(100*2.3).

FAQ

What is Instantaneous Circulating Current?

The Instantaneous Circulating Current formula is the value of the circulating current of the dual converter at any instant and is represented as i_r(dual) = (2*V_in(dual)*(cos(ω_(dual)*t_(dual))-cos(α_1(dual))))/(ω_(dual)*L_r(dual)) or Instantaneous Circulating Current Dual Converter = (2*Peak Input Voltage Dual Converter*(cos(Angular Frequency*Time)-cos(Delay Angle of First Converter)))/(Angular Frequency*Circulating Current Reactor). Peak Input Voltage Dual Converter is defined as the peak amplitude obtained by the voltage at the input terminal of a dual converter circuit, Angular Frequency refers to the angular displacement per unit of time in a dual converter circuit, Time provides a framework for understanding the sequence of events, durations, intervals, and the relationships between different moments, Delay angle of first converter here refers to the delay angle of thyristors of the first converter in the dual converter & Circulating Current Reactor is an inductive component that is deliberately introduced into the circuit to influence the behavior of circulating currents.

How to calculate Instantaneous Circulating Current?

The Instantaneous Circulating Current formula is the value of the circulating current of the dual converter at any instant is calculated using Instantaneous Circulating Current Dual Converter = (2*Peak Input Voltage Dual Converter*(cos(Angular Frequency*Time)-cos(Delay Angle of First Converter)))/(Angular Frequency*Circulating Current Reactor). To calculate Instantaneous Circulating Current, you need Peak Input Voltage Dual Converter (V_in(dual)), Angular Frequency (ω_(dual)), Time (t_(dual)), Delay Angle of First Converter (α_1(dual)) & Circulating Current Reactor (L_r(dual)). With our tool, you need to enter the respective value for Peak Input Voltage Dual Converter, Angular Frequency, Time, Delay Angle of First Converter & Circulating Current Reactor and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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